Abstract
We (analytically) calculate the energy spectrum corresponding to various experimental and numerical turbulence data analyzed by Benzi et al. We find two bottleneck phenomena: While the local scaling exponent of the structure function decreases monotonically, the local scaling exponent of the corresponding spectrum has a minimum of at and a maximum of at . A physical argument starting from the constant energy flux in space reveals the general mechanism underlying the energy pileups at both ends of the -space scaling range. In the case studied here, they are induced by viscous dissipation and the reduced spectral strength on the scale of the system size, respectively.
- Received 4 May 1994
DOI:https://doi.org/10.1103/PhysRevLett.74.1747
©1995 American Physical Society